The Evolution of Systems of Numeration
Just as mankinds first language was not English, neither was the Hindu-Arabic
system his first system of numeration. Early man needed a way to keep track of his
possessions, the days, and many other things, so when h

Fixing a Strategy and Justifying it in Two Ways
The Problem: 32 x 47 = _
a) Strategies to solve the problem using Julias starter (30 x 50):
1. 30 x 50 = 1500
30 x 3 = 90
1500 90 = 1410
2 x 47 = (2 x 40) + (2 x 7) = 80 + 14 =
94
1410 + 94 = 1504
2. 30 x 50

Justifying One Strategy in Two Ways
The Problem: 593 - 198 = ?
Saras Justification: I have 593 things and I take away 198 thingshow many do I have
left?
James Justification: I am trying to find out what the distance is between 198 and 593.
The Steps:
600

Extended Problem #1: Exploring Egyptian Fractions
1. (See attached table)
2. Work and diagrams for 3 fractions
a. 2 yards of ribbon shared by 3 people: 2/3
2/3 = 4/6 = 3/6 + 1/6 = + 1/6
b. 3 yards of ribbon shared by 4 people:
= 2/4 + = +
c. 2 yards of

Article Review #2
Article Reviewed: How the Accelerated Reader Program Can Become
Counterproductive for High School Students. Journal of Adolescent & Adult Literacy.
51(7). April 2008: pp. 550.
Jottings: (see attached article for highlighting and notes)
P

Chapter5:PhonicsforWordRecognition
I.
II.
III.
IV.
BenefitsofLearningPhonics
a. Meanttolaygroundworkfordevelopmentofdecodingroutines
b. Tobeeffective,studentsshouldbereadinglargeamountsoftheproper
materials
c. Learningstrategiesisntenough,itmustbetransfer

Article Review #1
Article Reviewed: In Defense of Crappy Literature: When the Book is Bad but the
Literary Thinking is Rich! by Lori A Norton-Meier (from Language Arts: Jan 2009; 86,
3: Research Library pg. 188)
Jottings: (see attached article for highlig

Slide #1
AStandardsBasedMovement:WhatitMeansforYou
Whatisit?Anintegrationofassessmentand
NCTMStandards
o
o
Reasoningandproof
o
Communication
o
Connections
o
Problemsolving
Representation
Whydoweneedthismovement?
o
Changingworldeconomy
o
Traditionalcurricu

Teaching Through Problem Solving
I.
Three ways that problem solving can be incorporated into math
a. Teaching for problem solving
b. Teaching about problem solving
c. Teaching through problem solving
II.
Teaching Through Problem Solving
a. Tasks/problems

Slide Notes
Slide #1
Within the last 5-10 years, theres been a national movement that shifts our focus as educators
from a traditional textbook-based curriculum to one that emphasizes standards established on a
national basis. The National Council of Math